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An environmental group at a local college is conducting independent tests to determine the distance a particular make of automobile will travel while consuming only 1 gallon of gas.They test a sample of five cars and obtain a mean of 28.2 miles.How many cars should the environmental group test if they wish to estimate μ,mean miles per 1 gallon,to within 0.5 miles and be 99 percent confident? Assume a population standard deviation of 2.7 miles.
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